Find the indefinite integral. [ cos 3xar sin33- sin 3r +C 6. O sna(3- sn'ax) sin3 3-sn 3 +C sn3x 3+sn“3x +C 3. O snar(3+sn*3x 4. sn3x 3+sn'3x +C 6. sn3x 3+sn 3x +C 6.

Q: Compute the definite integrals. Lx cos(x) dx х COS OT – 1 O1 -2 O 2

A: Please refer the attached image for complete solution.

Q: Evaluate the integral. 17) S sin (3x - 2) dx

A: From the given problem:   I=∫ sin3x-2dx..(1)   Let,   u=3x-2   Now differentiate with respect to x:…

Q: Determine the integral of the ff. functions. 1. S - 10 sin 5x dx 2. S 4 x cos x² dx 3. S sec 2 (3x +…

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Q: In the integral of x cos 2x dx with limits form 0 to pi/2, what is the indefinite integral? Select…

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Q: cos®xdx CoS Xx, 0.

A: We have to evaluate the integral.

Q: 18 Estimate the error if cos t is approximated by 1- 2 in the integral cos t? dt. 4! - -+ The error…

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Q: 3. Find the following definite integrals. (2x +3)dx (x2- 1)dx x² - 2x)dx sin(3x + 4) dx 1

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Q: Calculate the definite integral of x^2 + 4x approaches from 1 to 3.

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Q: Csin $ 3 y cos*3 ychy

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Q: Find the indefinite integral. |cos 2x ein 2* de sin 2x A) 2 +C ein 2x +C B) C) sin 2x e cos2x +C D)…

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Q: Calculate the integral of y = 11 cos (8x) from 0 to Answer = Number Leave your answer in exact form…

A: on solving this we get the

Q: S e2x sin 2xdx

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Q: Evaluate the integral from -n/2 to +t/2 of x² sin x.

A: Given integral

Q: Find the indefinite integral by making the substitution x = 9 sin e. 6. V81-x2 1 3/2 +C 81 V81-…

A: Option b is correct

Q: Evaluate the integral. dx 9-x2 O sin-1 cos 1*+c O cos Cos 7 O 2 2 cos'1를x*C Sin 1

A: SOLUTION-

Q: Ssin( /3x)cos(-2r)dx

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Q: Match the integral expression on the left to an equal expression on the right. (cos(x)- Prompts…

A: I am attaching image so that you understand each and every step.

Q: Find the indefinite integral. S-x² + sin x – 3* dx | In |x| – - 3* + C COS X - 3 In 3

A: detailed solution is given below

Q: Evaluate the integrals ∫sin 2θ - cos 2θ/(sin 2θ + cos 2θ)3 dθ

A: We have to evaluate the integrals: ∫sin2θ-cos2θsin2θ+cos2θ3dθ This integration will be solve d by…

Q: Find the indefinite integral. X< + 12x + 1 .3 dx to x° + 18x² + 3x + 4 ,2

A: Given: Let I=∫x2+12x+1x3+18x2+3x+4 dx To Find: To evaluate the given indefinite integral.

Q: Evaluate the indefinite integral: S 9x“ cos (x³ + 6) dæ COS

A: Given,  ∫9x4cosx5+6dx  We have to evaluate the integral using substitution.

Q: Find the indefinite integral (10tan?x+ 16)dx, а. 10tanx + бх + C 10 3 b. -tan'x+16x +C 3 10 3 tan'x…

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Q: Evaluate the integral. 7- sin 6x dx 6 7n 1 7n 1 18

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Q: set up an integral ....bounds x=3pi/4 x=-pi/4 y=-sinx and y=-cosx

A: GRAPH

Q: cos 3x cos 4x dx

A: ∫cos3xcos4xdx here we use formula  2cosxcosy = cos(x+y) +cos(x-y) here x = 4x      y = 3x

Q: Evaluate the indefinite integral. | cos(8z) /4 – sin(8z) da = +C.

A: Let I is the value of given Integral

Q: Find the indefinite integral. p. xV144x-49 1. -arc sec 7. (17x) +C 12 A) 7x B) 7arc sec +C 12 144x 1…

A: To evaluate the given indefinite integral.

Q: Find the definite integral of ₁3 T Option 1: 4 Option 2: Option 3: Option 4: 4 2 I 6 π 3 6…

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Q: Which of the following is one of the correct steps to evaluate cos3 dt to obtain the correct indef…

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Q: Evaluate the integrals ∫16 sin2 x cos2 x dx

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Q: Compute the indefinite integral 2. 4e2a + 6x 5) dx. - -

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Q: Find the indefinite integral of the following: 1. (2x4-x3-2x+3) dx 2. (3-2x)2 dx  3. 3(x-1)(2-3x)…

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Q: Evaluate the integrals ∫cos 3x cos 4x dx

A: Evaluate ∫ cos 3xcos 4xdx

Q: 5 Only one of these calculations is correct to evaluate the definite integral 7x In(x) dx Using the…

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Q: S Sen? (Ln y) dy

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Q: 5. Evaluate the following indefinite integrals. 8. **** Power 2 ...... sin.x dx. b-₁f.co₂x² dx…

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Q: 4. Prove using the results concerning iterated integrals that In 5 dx = 4 sin? x

A: Given:-                 To prove the result concerning iterated integrals that…

Q: 4. Evaluate the integral: In6 -2x + sinh 2x|dx e2x + e-2x

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Q: Step by step

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Q: In evaluating/ *sin³(2x)cos(2x) dr by substitution, if M = sin(2x) then what will be the resulting…

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Q: You found that the reduction formula of a certain integral is In = a" sin 2x + nx"-1 cos 2x – n (n –…

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Q: Evaluate the integrals ∫cos3 2x sin5 2x dx

A: Evaluate: ∫cos32xsin52xdx

Q: tep 4 Rewrite the integral by substituting for cos 60. 1. sin? 60 5/2 -(n)- cos 66 sin 60 de = 9.…

A: The given integral is sin2(6 theta)√cos(6 theta) sin(6 theta).

Q: Obtain a "reduction" formula that expresses the integral cos" x dx in terms of an integral of a…

A: Integration by parts: If u is first function and v is second function then: ∫u(x) v(x) dx=u(x)∫v(x)…

Q: Evaluate the indefinite integral: [ 10 10e¹x cos(2x) dx

A: We will use simple Integration rules to solve this question.

Q: Evaluate the indefinite integrals by using the given substitutions to reduce the integrals to…

A: SOLUTION-

Q: 3 aluate the indefinite integral by using the substitution u = x + x° to reduce integral to standard…

A: Please refer to the image below

Q: You found that the reduction formula of a certain integral is In = 180 (13x" sin (13x) + næ"-1 cos…

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Q: 5 Only one of these calculations is correct to evaluate the definite integral x² In(x) dx 1 Using…

A: First we have to find h and it's corresponding formula.

Q: 1. Evaluate the iterated integrals. √27x² (a) [sin - dydx (b) √√x² - y² dydx

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